Question

In the adjoining figure, the bisector of angle A and angle B meet in a point P. If the angle C=100° and angle D=60, find the measure of angle APB​

Answer 1

Answer

60 ∘ +100 ∘+∠A+∠B=360 ∘

⇒∠A+∠B=200 ∘

⇒

2∠A+∠B

=100 ∘

⇒∠BAP+∠ABP=100 ∘

But ∠BAP+∠ABP+∠APB=180 ∘

⇒∠APB=80 ∘